2541564 has 48 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 835200.

The previous prime is 2541563. The next prime is 2541593. The reversal of 2541564 is 4651452.

2541564 = T₁₅ + T₁₆ + ... + T₂₄₇.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10792 + ... + 11024.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

2^2541564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2541564 is an abundant number, since it is smaller than the sum of its proper divisors (4141476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2541564 is a wasteful number, since it uses less digits than its factorization.

2541564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2541564 is about 1594.2283399814. The cubic root of 2541564 is about 136.4688976353.

The spelling of 2541564 in words is "two million, five hundred forty-one thousand, five hundred sixty-four".